Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/218,601/850,807/929
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 47,601,807
Greatest Common Factor of Numerators i.e. GCF of 47,601,807 is 1 .
LCM of Denominators means LCM of 218,850,929 as per the given fractions.
LCM of 218,850,929 is 86071850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,601,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors 47,601,807 . The biggest common factor number is the GCF number.
So the greatest common factor 47,601,807 is 1.
Lets's calculate LCM of 218,850,929
2 | 218, 850, 929 |
109, 425, 929 |
∴ So the LCM of the given numbers is 2 x 109 x 425 x 929 = 86071850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86071850
Therefore, the GCF of Fractions 47/218,601/850,807/929 is 1/86071850
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 218,850,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,850,929) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(218,850,929) x common factors =1 x 2 = 2
LCM(218,850,929) = ( 218 × 850 × 929 ) / 2
LCM(218,850,929) = 172143700 / 2
LCM(218,850,929) = 86071850
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 47/218, 601/850, 807/929?
Answer: GCF of Numerators as per given numbers 47/218, 601/850, 807/929 is
GCF of Numerators i.e. for 47,601,807 is 1
LCM of denominators i.e. for 218,850,929 is 86071850.
Thus, GCF of Fractions is 1/86071850.Finally, GCF of Fractions for 47/218, 601/850, 807/929 is 1/86071850.